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Finding the Third Proportional to 40,772 and 57,415

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Solution

The third proportional to 40,772 and 57,415 is: 80,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,772 : 57,415 = 57,415 : x
  2. Step 2: Convert to fraction form
    40,772/57,415 = 57,415/x
  3. Step 3: Cross multiply
    40,772x = 57,415 × 57,415
  4. Step 4: Simplify right side
    40,772x = 3,296,482,225
  5. Step 5: Solve for x
    x = 3,296,482,225/40,772
  6. Step 6: Final answer
    x = 80,851.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.